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#1 2006-01-08 07:03:09

wised
Member
Registered: 2006-01-08
Posts: 2

solids

a cylindrical container has a base area 100 m2 and is 12 m high. if the container is one-third filled with water, what is the volume of the water in the container?

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#2 2006-01-08 07:19:51

irspow
Member
Registered: 2005-11-24
Posts: 455

Re: solids

The volume of the cylinder is the base time the height and you are given that information.

V = 100× 12 = 1200

If the cylinder is 1/3 full then the water volume is 1/3 the volume of the cylinder;

1200/3 = 400 m^3

Last edited by irspow (2006-01-08 07:42:04)

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#3 2006-01-09 00:02:04

VR Hawks
Member
Registered: 2005-11-26
Posts: 401

Re: solids

To find out the cylindrical container's total volume, refer to the calculations below.

Base Area x Height = Volume

100 x 12 = 1200 L

And to find out 1/3 of it, times the total volume by 1/3 or devide the total volume by 3.

1200/3 = 400 L

1200 x 1/3 = 400 L

Last edited by VR Hawks (2006-01-09 01:27:07)


Name :: Vincent Raider Hawks
Gender :: Male
Birth Date :: July 4 , 1970

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#4 2006-01-09 09:12:30

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,555

Re: solids

Curious fact: the water would fill a cone of the same dimensions.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#5 2006-01-09 12:45:06

irspow
Member
Registered: 2005-11-24
Posts: 455

Re: solids

Not curious...the area formula for a cone is 1/3 the area of a cylinder.  Actually a cone is just a tapered cylinder anyway.

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#6 2006-01-09 21:32:43

VR Hawks
Member
Registered: 2005-11-26
Posts: 401

Re: solids

You've got sense, MathIsFun!


Name :: Vincent Raider Hawks
Gender :: Male
Birth Date :: July 4 , 1970

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#7 2006-01-09 23:29:20

ganesh
Moderator
Registered: 2005-06-28
Posts: 15,216

Re: solids

You have realized that a bit too late. I knew that he had a lot of sense and was a friendly person the day I registered in the forum. MathsIsFun is our Commander. smile:):)


Character is who you are when no one is looking.

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#8 2006-01-10 01:07:10

VR Hawks
Member
Registered: 2005-11-26
Posts: 401

Re: solids

Actually, I noticed that MathIsFun was and is our "emperor" and captain, a captain with capable knowledge to solve our problems. smile


Name :: Vincent Raider Hawks
Gender :: Male
Birth Date :: July 4 , 1970

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#9 2006-01-10 01:38:41

ganesh
Moderator
Registered: 2005-06-28
Posts: 15,216

Re: solids

Nice post, VR Hawks smile Its interesting to note that you are from Hongkong.


Character is who you are when no one is looking.

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#10 2006-01-10 09:58:50

irspow
Member
Registered: 2005-11-24
Posts: 455

Re: solids

I might be nitpicking but VR Hawks posted a solution of 400L when the answer was 400m³.  That would be 400,000L of water.

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#11 2006-01-10 21:47:57

ganesh
Moderator
Registered: 2005-06-28
Posts: 15,216

Re: solids

irspow is right! A metre³ of any substance is 1,000 litres!


Character is who you are when no one is looking.

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#12 2006-01-12 00:01:49

VR Hawks
Member
Registered: 2005-11-26
Posts: 401

Re: solids

Oh, really sorry. I didn't notice that. So, it should be 400,000L.

Actually, I wrote the unit as litres because you're measuring the volume of water.


Name :: Vincent Raider Hawks
Gender :: Male
Birth Date :: July 4 , 1970

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